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CR manifold

In mathematics, a CR manifold, or Cauchy–Riemann manifold, is a differentiable manifold together with a geometric structure modeled on that of a real hypersurface in a complex vector space, or more generally modeled on an edge of a wedge.

Products, Abstract CR structures & Embedded CR manifolds

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Overview

Introduction and motivation

Embedded CR manifolds

Abstract CR structures

Examples

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Map overview Semantic statistics

CR manifold

Nodes89
Edges88
Triples93
Avg. degree1.98
Density0.022472
Components1

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CR manifold

Top relations

related to References · 46
CR manifold → Acta Math, Albert, American Journal, An, An English, Ann, Annali, Applicata, Archived, BF02392146, BF02419336, Boggess, Chern, Chirka, CR, CR Manifolds, CR-manifolds, CRC Press, Dragomir, Duality
related to The tangential Cauchy–Riemann complex (Kohn Laplacian, Kohn–Rossi complex) · 21
CR manifold → Associated, Cohomology, CR, CR Geometry, First, For CR, Hugo Rossi, Investigation, It, Joseph, Kohn, Kohn Laplacian, One, Riemann, Rossi, Several Complex Variables, Tangential Cauchy, Tangential CR, The, This
related to Embedded and abstract CR manifolds · 8
CR manifold → Cauchy, CR, Dolbeault, Levi, Many, Riemann, There, These
related to The Levi form · 7
CR manifold → CR, Eugenio Elia Levi, Hermitian, Let, Many, The Levi, This
related to Examples · 3
CR manifold → CR, Re, The
related to Preliminaries · 3
CR manifold → Define, Embedded CR, In
related to The Levi form and pseudoconvexity · 3
CR manifold → CR, Suppose, The Levi
is a · 2
CR manifold → differentiable manifold M together with a preferred complex distribution L, real 2 n

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Important terminology

displaystyle cr complex mathbb manifold structure real form manifolds operator overline functions vector bundle abstract holomorphic defined partial kohn also

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
CR manifoldis adifferentiable manifold M together with a preferred complex distribution L0.90text
CR manifoldis areal 2 n0.90text
CR manifoldrelated to Embedded and abstract CR manifoldsThere0.60section
CR manifoldrelated to Embedded and abstract CR manifoldsCR0.60section
CR manifoldrelated to Embedded and abstract CR manifoldsMany0.60section
CR manifoldrelated to Embedded and abstract CR manifoldsThese0.60section
CR manifoldrelated to Embedded and abstract CR manifoldsLevi0.60section
CR manifoldrelated to Embedded and abstract CR manifoldsDolbeault0.60section
CR manifoldrelated to Embedded and abstract CR manifoldsCauchy0.60section
CR manifoldrelated to Embedded and abstract CR manifoldsRiemann0.60section
CR manifoldrelated to ExamplesThe0.60section
CR manifoldrelated to ExamplesCR0.60section

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